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Finding the Fourth Proportional to 103,574.82, 155,394.87 and 37,013.46

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Solution

The fourth proportional to 103,574.82, 155,394.87 and 37,013.46 is: 55,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,574.82 : 155,394.87 = 37,013.46 : x
  2. Step 2: Convert to fraction form
    103,574.82/155,394.87 = 37,013.46/x
  3. Step 3: Cross multiply
    103,574.82x = 155,394.87 × 37,013.46
  4. Step 4: Simplify right side
    103,574.82x = 5,751,701,804.95
  5. Step 5: Solve for x
    x = 5,751,701,804.95/103,574.82
  6. Step 6: Final answer
    x = 55,531.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.